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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorCERRI, Jean-Paul
hal.structure.identifierEcole Polytechnique Fédérale de Lausanne [EPFL]
dc.contributor.authorCHAUBERT, Jérôme
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorLEZOWSKI, Pierre
dc.date.accessioned2024-04-04T02:22:07Z
dc.date.available2024-04-04T02:22:07Z
dc.date.created2012-10-03
dc.date.issued2013-01-31
dc.identifier.issn1793-0421
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189628
dc.description.abstractEnIn this article we study totally definite quaternion fields over the rational field and over quadratic number fields. We establish a complete list of all such fields which are Euclidean. Moreover, we prove that every field in this list is in fact norm-Euclidean. The proofs are both theoretical and algorithmic.
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.subject.enEuclidean order
dc.subject.ennorm-Euclidean order.
dc.subject.ennorm-Euclidean order
dc.subject.enQuaternion field
dc.subject.enEuclidean algorithm
dc.title.enEuclidean totally definite quaternion fields over the rational field and over quadratic number fields
dc.typeArticle de revue
dc.identifier.doi10.1142/S1793042112501540
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journalInternational Journal of Number Theory
bordeaux.page653-673
bordeaux.volume9
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00738164
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00738164v1
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